The novel sufficient condition for stability of discrete-time control system of neural networks

In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptot...

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Bibliographic Details
Main Authors: K. Ratchagit, P. Niamsup, Vu N. Phat
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79955047278&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50124
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Institution: Chiang Mai University
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Summary:In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes. © 2010-11 by IJAMAS, CESER Publications.